On some recent developments in Ulam′ s type stability

N Brillouët-Belluot, J Brzdęk… - Abstract and applied …, 2012 - Wiley Online Library
On Some Recent Developments in Ulam′s Type Stability - Brillouët-Belluot - 2012 -
Abstract and Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article …

Hyperstability and superstability

J Brzdęk, K Ciepliński - Abstract and Applied Analysis, 2013 - Wiley Online Library
Hyperstability and Superstability - Brzdęk - 2013 - Abstract and Applied Analysis - Wiley Online
Library Skip to Article Content Skip to Article Information Wiley Online Library Wiley Online …

[图书][B] Stability of functional equations in several variables

DH Hyers, G Isac, T Rassias - 2012 - books.google.com
The notion of stability of functional equations of several variables in the sense used here
had its origins more than half a century ago when S. Ulam posed the fundamental problem …

On the stability of functional equations and a problem of Ulam

TM Rassias - Acta Applicandae Mathematica, 2000 - Springer
In this paper, we study the stability of functional equations that has its origins with SM Ulam,
who posed the fundamental problem 60 years ago and with DH Hyers, who gave the first …

On the stability of functional equations in Banach spaces

TM Rassias - Journal of Mathematical Analysis and Applications, 2000 - Elsevier
On the Stability of Functional Equations in Banach Spaces Page 1 Ž . Journal of Mathematical
Analysis and Applications 251, 264284 2000 doi:10.1006rjmaa.2000.7046, available online …

Hyperstability of the Cauchy equation on restricted domains

J Brzdȩk - Acta mathematica hungarica, 2013 - Springer
We show that a very classical result, proved by T. Aoki, Z. Gajda and Th. M. Rassias and
concerning the Hyers–Ulam stability of the Cauchy equation f (x+ y)= f (x)+ f (y), can be …

Recent developments of the conditional stability of the homomorphism equation

J Brzdęk, W Fechner, MS Moslehian… - Banach journal of …, 2015 - projecteuclid.org
The issue of Ulam's type stability of an equation is understood in the following way: when a
mapping which satisfies the equation approximately (in some sense), it is" close" to a …

On Ulam stability of functional equations in 2-normed spaces—A survey II

ES El-Hady, J Brzdęk - Symmetry, 2022 - mdpi.com
Ulam stability is motivated by the following issue: how much an approximate solution of an
equation differs from the exact solutions to the equation. It is connected to some other areas …

Stability of additivity and fixed point methods

J Brzdęk - Fixed point theory and applications, 2013 - Springer
We show that the fixed point methods allow to investigate Ulam's type stability of additivity
quite efficiently and precisely. Using them we generalize, extend and complement some …

On stability of the general linear equation

A Bahyrycz, J Olko - Aequationes mathematicae, 2015 - Springer
We prove, using the fixed point approach, some stability results for the general linear
functional equation. Namely we obtain sufficient conditions for the stability of a wide class of …